Hall conductivity from dyonic black holes

被引：201

作者：

Hartnoll, Sean A. ^{[1
]}

Kovtun, Pavel K. ^{[1
]}

机构：

[1] Univ Calif Santa Barbara, KITP, Santa Barbara, CA 93106 USA

来源：

PHYSICAL REVIEW D | 2007年 / 76卷 / 06期

关键词：

D O I：

10.1103/PhysRevD.76.066001

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A class of strongly interacting 2+1 dimensional conformal field theories in a transverse magnetic field can be studied using the AdS/CFT duality. We compute zero momentum hydrodynamic response functions of maximally supersymmetric 2+1 dimensional SU(N) Yang-Mills theory at the conformal fixed point, in the large N limit. With background magnetic field B and electric charge density rho, the Hall conductivity is found to be rho/B. The result, anticipated on kinematic grounds in field theory, is obtained from perturbations of a four-dimensional AdS black hole with both electric and magnetic charges.

引用

页数：7

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